Finding the Third Proportional to 76,599 and 114,439.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,599 : 114,439.50 = 114,439.50 : x
2. Step 2: Convert to fraction form
   76,599/114,439.50 = 114,439.50/x
3. Step 3: Cross multiply
   76,599x = 114,439.50 × 114,439.50
4. Step 4: Simplify right side
   76,599x = 13,096,399,160.25
5. Step 5: Solve for x
   x = 13,096,399,160.25/76,599
6. Step 6: Final answer
   x = 170,973.50